Fairness pp 202-239 | Cite as

Fairness in Temporal Logic

  • Nissim Francez
Part of the Texts and Monographs in Computer Science book series (MCS)


In this chapter a different pattern of reasoning is introduced, known as temporal-reasoning. It uses a notation which is directly interpreted on infinite sequences (or trees) which, in turn, can be used to represent the evolution in time of the program state. An important distinguished characteristic of this approach (as presented here) is its being endogenous, i.e. it considers the set of complete computation sequences (or trees) as given, and reasons directly about the behavior of the whole program.

Thus, given a program, the reasoning is factored as follows:
  1. a)

    define the set of all its computation histories,

  2. b)

    prove any required property in terms of these histories, independently of the program.


This may be contrasted with the exogenous approach of the proof rules in previous chapters, where the rules related properties of the whole program to properties of its parts.

One consequence of this distinction is that the temporal approach is more suitable for dealing with programs presented as transition systems in contrast to the exogenous systems, that fit nicely in dealing with well-structured programs. Recently several attempts were made to provide temporal semantics in a more structured, compositional way.

Another observation is that the temporal approach is rather more powerful for general liveness properties, of which termination is just a special case. Hence, in dealing with fair termination of GC programs, one does not take full advantage of the whole power of the system.


Temporal Logic Critical Section Mutual Exclusion Liveness Property State Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • Nissim Francez
    • 1
  1. 1.Department of Computer ScienceTechnion—Israel Institute of TechnologyHaifaIsrael

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